Electromagnetic Responses of Vortex Lattices in Unconventional Superconductors
Ryusuke Ikeda, Yuto Yokota

TL;DR
This paper investigates the electromagnetic responses of vortex lattices in unconventional superconductors, revealing how lattice structure and pairing symmetry influence superfluid stiffness and elastic energy, with implications for vortex pinning.
Contribution
It provides a detailed analysis of vortex lattice responses in various pairing symmetries, highlighting the role of free energy minimization in superfluid stiffness and elastic energy behavior.
Findings
Superfluid stiffness vanishes only for free energy-minimizing vortex structures.
Anisotropic vortex lattices in d-wave superconductors affect elastic energy, not vortex flow conductivities.
Vortex lattice anisotropy relates to vortex pinning effects.
Abstract
The electro-magnetic responses of ordered vortex lattices in unconventional superconductors are studied in a high field approximation. In the cases with a vortex lattice formed within the lowest Landau level of the superconducting order parameter (OP) such as a conventional s-wave paired system with a single OP and a nonchiral spin triplet paired one with multiple components of OPs, the vanishing of the superfluid stiffness for a gauge field disturbance perpendicular to the applied uniform magnetic field is found to be ensured only for the vortex lattice structures minimizing the free energy. The notion of the vanishing superfluid stiff ness ensured by minimization of the free energy is found to be satisfied in a more complex d-wave pairing case where the vortex lattice in lower fields has an anisotropic structure de viated from the six-fold hexagonal symmetry.…
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